Exploring Neo-Classical Ideas on Planck's Constant

[laserblue]

I would like to acquire white hat on Planck's constant and classical ideas regarding quantum mechanics and the origin of Planck's constant.
For example, Timothy Boyer suggests a classical derivation of blackbody radiation by employing stochastic electrodynamics ideas. Dr. Hestenes proposes a new interpretation of the electron and Dirac's theory while Mendel Sachs derives Quantum Mechanics as a linear limit of a nonlinear general relativistic theory of gravitation and electromagnetism in which photons are a superfluous concept. Several physicists suggest a nonlinear theory of electromagnetism is needed. Einstein and Planck noted long ago that the dimensions of h and e^2/c were the same.There are papers that suggest the origin of Planck's constant in the topology of group theory. Edwin Jaynes had an idea about parametric coupling to explain why an electron bound to an atom didn't appear to radiate and also proposed ideas regarding a conservation of action law.
Can anyone add some more neo-classical ideas that have been around or that have been recently proposed?

 

[rlduncan]

Sorry can't help, but could you direct me to more about Edwin Jaynes's theory on the bound electron not radiating energy.

 

[laserblue]

For anyone interested in Professor Edwin Jayne's writing I'm posting this URL.

http://bayes.wustl.edu/etj/articles/

In the paper STATUS OF NEOCLASSICAL RADIATION THEORY, Professor Jaynes models an atom with a quadratic interaction Hamiltonian and mentions a uniform integral of the motion that is a law of conservation of action.(http://bayes.wustl.edu/etj/articles/survey.nct.pdf)
Professor Jaynes also has a well known model known as the Jaynes-Cummings model.

 

[Tyger]

I suspect one reason that no one has really tried to answer this post is it isn't very clear what is being asked or stated in it. As far as the original derivation of Planck's constant, Planck had found an equation that that nicely fitted the black body problem by using somewhat heuristic reasoning and to make it fit he had to insert this quantity in the equation. He was actually combining two equations, one which worked for high frequency, and another that worked for low frequency radiation, into one workable equation, and using h was necessary to do this.

As to the significance of h, well h-bar represents one radian of quantum mechanical phase per radian of plane angle, and h simply represents 2π radians of quantum mechanical phase. And the true significance of h is that it converts the classical quantity of action to quantum mechanical phase. I don't think you can really "derive" h from other consideration, I think you just have to understand that it is related to the phase associated with quantum mechnical amplitudes.